Details

analyze1.3s (28.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
10.1%	89.6%	0.2%	11
15.2%	84.6%	0.2%	12
20.5%	79.3%	0.2%	13
21.6%	77.1%	1.3%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (29.8%)

Results

974.0ms	8256×	body	128	valid
315.0ms	2668×	body	128	invalid

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
721×	`fma-def_binary64`
244×	`cancel-sign-sub-inv_binary64`
187×	`distribute-rgt-in_binary64`
138×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	98	13
4	258	11
5	542	11
6	1019	11
7	1302	11
8	1414	11
9	1470	11
10	1476	11
11	1481	11
12	1481	11
13	1408	11

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
▶	4.9b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 76 to 46 computations (39.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓	0.0b	(*.f64 y (-.f64 z t))
✓	5.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

series56.0ms (1.2%)

Counts

3 → 144

Calls

3 calls:

27.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
22.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
6.0ms	(*.f64 y (-.f64 z t))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
39×	`prod-diff_binary64`
37×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`

Counts

3 → 121

Calls

3 calls:

6.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
5.0ms	(*.f64 y (-.f64 z t))
4.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
746×	`times-frac_binary64`
299×	`exp-prod_binary64`
213×	`cancel-sign-sub-inv_binary64`
208×	`fma-neg_binary64`

Counts

265 → 195

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	3653
1	555	3282
2	2075	2974
3	4562	2896
4	4877	2896

prune111.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	190	5	195
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	191	6	197

Error

Counts

197 → 6

Alt Table

Status	Error	Program
	36.2b	(*.f64 y (-.f64 (/.f64 t a) (/.f64 z a)))
▶	1.9b	(fma.f64 (/.f64 y a) (fma.f64 -1 z t) x)
	36.0b	(/.f64 y (/.f64 a (-.f64 t z)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
	4.9b	(+.f64 x (neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a)))
	4.9b	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))

Compiler

Compiled 3987 to 1013 computations (74.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(fma.f64 (/.f64 y a) (fma.f64 -1 z t) x)

series23.0ms (0.5%)

Counts

1 → 60

Calls

1 calls:

23.0ms

(fma.f64 (/.f64 y a) (fma.f64 -1 z t) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (/.f64 y a) (fma.f64 -1 z t) x)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

402×	`distribute-rgt-neg-out_binary64`
399×	`distribute-lft-neg-out_binary64`
377×	`distribute-rgt-in_binary64`
373×	`distribute-lft-in_binary64`
227×	`distribute-rgt-out_binary64`

Counts

70 → 33

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	875
1	79	750
2	165	733
3	440	733
4	2134	733
5	4825	733
6	5128	733

prune22.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Error

Counts

39 → 6

Alt Table

Status	Error	Program
	36.2b	(*.f64 y (-.f64 (/.f64 t a) (/.f64 z a)))
✓	1.9b	(fma.f64 (/.f64 y a) (fma.f64 -1 z t) x)
	36.0b	(/.f64 y (/.f64 a (-.f64 t z)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
▶	4.9b	(+.f64 x (neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a)))
	4.9b	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))

Compiler

Compiled 546 to 221 computations (59.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a)))
	0.0b	(*.f64 y (-.f64 z t))
	5.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

series28.0ms (0.6%)

Counts

1 → 60

Calls

1 calls:

28.0ms

(+.f64 x (neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a)))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`distribute-lft-out_binary64`
2×	`sum-log_binary64`

Counts

1 → 21

Calls

1 calls:

5.0ms

(+.f64 x (neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a)))

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1017×	`fma-neg_binary64`
920×	`div-sub_binary64`
406×	`associate-/l*_binary64`
261×	`distribute-rgt-neg-out_binary64`
211×	`cancel-sign-sub-inv_binary64`

Counts

81 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	1016
1	164	985
2	484	973
3	1709	973
4	3627	853
5	6136	853

prune221.0ms (4.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	157	6	163

Error

Counts

163 → 6

Alt Table

Status	Error	Program
	36.2b	(*.f64 y (-.f64 (/.f64 t a) (/.f64 z a)))
✓	1.9b	(fma.f64 (/.f64 y a) (fma.f64 -1 z t) x)
	36.0b	(/.f64 y (/.f64 a (-.f64 t z)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
✓	4.9b	(+.f64 x (neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a)))
▶	4.9b	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))

Compiler

Compiled 2795 to 862 computations (69.2% saved)

localize50.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))
	0.0b	(*.f64 y (-.f64 z t))
✓	5.4b	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))

series53.0ms (1.1%)

Counts

2 → 108

Calls

2 calls:

31.0ms	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))
22.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
12×	`prod-exp_binary64`
11×	`*-un-lft-identity_binary64`

Counts

2 → 64

Calls

2 calls:

25.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))
3.0ms	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

640×	`distribute-rgt-in_binary64`
634×	`distribute-lft-in_binary64`
446×	`fma-def_binary64`
168×	`distribute-rgt-neg-in_binary64`
153×	`cancel-sign-sub-inv_binary64`

Counts

172 → 124

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2142
1	384	2076
2	1335	1918
3	5314	1918

prune209.0ms (4.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	191	6	197

Error

Counts

197 → 6

Alt Table

Status	Error	Program
	36.2b	(*.f64 y (-.f64 (/.f64 t a) (/.f64 z a)))
✓	1.9b	(fma.f64 (/.f64 y a) (fma.f64 -1 z t) x)
	36.0b	(/.f64 y (/.f64 a (-.f64 t z)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
✓	4.9b	(+.f64 x (neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a)))
✓	4.9b	(-.f64 x (.f64 (.f64 y (-.f64 z t)) (/.f64 1 a)))

Compiler

Compiled 3524 to 1300 computations (63.1% saved)

regimes588.0ms (12.6%)

Accuracy

Total 0.8b remaining (98.7%)

Threshold costs 0.8b (98.7%)

Counts

35 → 3

Compiler

Compiled 4675 to 3058 computations (34.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	65
1	29	65
2	42	65
3	56	65
4	68	65
5	82	65
6	90	65
7	92	65
8	94	65
9	95	65
10	91	65

end113.0ms (2.4%)

Compiler: Compiled 184 to 95 computations (48.4% saved)

Details

analyze1.3s (28.4%)

sample1.4s (29.8%)

simplify65.0ms (1.4%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series56.0ms (1.2%)

rewrite25.0ms (0.5%)

simplify117.0ms (2.5%)

prune111.0ms (2.4%)

localize7.0ms (0.1%)

series23.0ms (0.5%)

rewrite1.0ms (0%)

simplify71.0ms (1.5%)

prune22.0ms (0.5%)

localize7.0ms (0.2%)

series28.0ms (0.6%)

rewrite6.0ms (0.1%)

simplify67.0ms (1.4%)

prune221.0ms (4.7%)

localize50.0ms (1.1%)

series53.0ms (1.1%)

rewrite32.0ms (0.7%)

simplify65.0ms (1.4%)

prune209.0ms (4.5%)

regimes588.0ms (12.6%)

bsearch1.0ms (0%)

simplify6.0ms (0.1%)

end113.0ms (2.4%)

Profiling